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Finding the Fourth Proportional to 11,542.80, 15,928.11 and 6,508.26

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Solution

The fourth proportional to 11,542.80, 15,928.11 and 6,508.26 is: 8,980.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542.80 : 15,928.11 = 6,508.26 : x
  2. Step 2: Convert to fraction form
    11,542.80/15,928.11 = 6,508.26/x
  3. Step 3: Cross multiply
    11,542.80x = 15,928.11 × 6,508.26
  4. Step 4: Simplify right side
    11,542.80x = 103,664,281.19
  5. Step 5: Solve for x
    x = 103,664,281.19/11,542.80
  6. Step 6: Final answer
    x = 8,980.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.